Caroline Turnage-Butterbaugh, Elliott Assistant Research Professor in the Department of Mathematics of Duke University, is the guest lecturer for the Mathematics Colloquium Lecture.
Her lecture topic is "Gaps between zeros of the Riemann zeta-function."
The Riemann zeta-function is a ubiquitous yet mysterious function in number theory. The location of its so-called nontrivial zeros give us information on the behavior of the primes. It is from this connection the Riemann Hypothesis arose.
In this talk we will investigate the gaps between “critical" zeros of the Riemann zeta-function and provide a missing proof of an old result of Selberg.